非交换无色散Gelfand-Dickey方程族的附加对称
PDF下载 (1694)胡美艳,李传忠.非交换无色散Gelfand-Dickey方程族的附加对称[J].宁波大学学报(理工版),2021,34(3):35-38.DOI:
HU Meiyan,LI Chuanzhong.Additional symmetry of noncommutative dispersionless Gelfand-Dickey hierarchy[J].Journal of Ningbo University(Natural Science & Engineering Edition),2021,34(3):35-38.DOI:
| Title: | Additional symmetry of noncommutative dispersionless Gelfand-Dickey hierarchy |
| 作者: | 胡美艳, 李传忠 |
| Author(s): | HU Meiyan, LI Chuanzhong |
| 关键词: | 附加对称; 非交换无色散Gelfand-Dickey (GD)方程族; 存活流; 弦方程 |
| Keywords: | additional symmetry; noncommutative dispersionless Gelfand-Dickey (GD) hierarchy; survival flow; string equation |
| 分类号: | O175.2 |
| 文献标识码: | A |
| 摘要: | 本文主要研究非交换无色散Gelfand-Dickey (GD)方程族的附加对称, 给出它的Lax函数及方程, 定义Orlov-Schulman函数和附加流. 在GD方程族约束情况下, 找出非交换无色散GD方程族附加流中的存活流, 同时研究特殊流得到弦方程并证明其形成一个无穷维李代数. |
| Abstract: | This article mainly deals with the additional symmetry of the noncommutative dispersionless Gelfand-Dickey (GD) hierarchy. We give its Lax function and equation, and define the Orlov-Schulman function and the additional flows. Under the constraints of the GD hierarchy, we find that only a part of additional flows can survive. Considering the special additional flow, the string equation is obtained. In addition, this part of additional flow forms an infinite-dimensional Lie algebra . |
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| 备注/Memo: | 收稿日期:2021-01-10.宁波大学学报（理工版）网址:http://journallg.nbu.edu.cn/ 基金项目:国家自然科学基金（12071237）. 第一作者:胡美艳（1995－）,女,山西吕梁人,在读硕士研究生,主要研究方向:孤立子与可积系统.E-mail:1842716825@qq.com *通信作者:李传忠（1982－）,男,山东聊城人,博士/教授,主要研究方向:孤立子与可积系统.E-mail:lichuanzhong@nbu.edu.cn 宁波大学学报（理工版）网址：http://journallg.nbu.edu.cn/ |
